Search a number
-
+
5961006 = 233591871
BaseRepresentation
bin10110101111010100101110
3102012211222000
4112233110232
53011223011
6331433130
7101445012
oct26572456
912184860
105961006
113401657
121bb57a6
13130932c
14b12542
157cb356
hex5af52e

5961006 has 32 divisors (see below), whose sum is σ = 13478400. Its totient is φ = 1952280.

The previous prime is 5961001. The next prime is 5961017. The reversal of 5961006 is 6001695.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5961001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2251 + ... + 4121.

It is an arithmetic number, because the mean of its divisors is an integer number (421200).

Almost surely, 25961006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5961006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6739200).

5961006 is an abundant number, since it is smaller than the sum of its proper divisors (7517394).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5961006 is a wasteful number, since it uses less digits than its factorization.

5961006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1941 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 5961006 is about 2441.5171512811. The cubic root of 5961006 is about 181.3175545250.

The spelling of 5961006 in words is "five million, nine hundred sixty-one thousand, six".

Divisors: 1 2 3 6 9 18 27 54 59 118 177 354 531 1062 1593 1871 3186 3742 5613 11226 16839 33678 50517 101034 110389 220778 331167 662334 993501 1987002 2980503 5961006